| dc.creator | Chávez Delgado, Jhony Alfonso | |
| dc.creator | Becerra Castañeda, Augusto | |
| dc.creator | Méndez Avalos, Luis César | |
| dc.creator | Rodríguez Delgado, Eduardo | |
| dc.creator | López Puycan, Luis Asunción | |
| dc.date | 2023-05-15 | |
| dc.date.accessioned | 2023-07-21T14:31:31Z | |
| dc.date.available | 2023-07-21T14:31:31Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4478 | |
| dc.identifier | 10.22199/issn.0717-6279-4478 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/232362 | |
| dc.description | The purpose of this mathematical paper is to establish a qualitative research of the existence and uniqueness of the generalized solution to a non-homogeneous hyperbolic partial differential equation problema
subject to the contour condition u = 0 over Σ, and with initial conditions u(x, 0) = u0(x) in Ω, ∂ut(x, 0) = u1(x) in Ω. In the development of the research, the deductive method of Faedo-Garleskin and Medeiro is used to demonstrate the existence of the generalized solution that consists in the construction of approximate solutions in a finite dimensional space, obtaining a succession of approximate solutions to the non-homogeneous hyperbolic problem, that is, by means of a priori estimations, these successions of approximate solutions are passed to limit in a suitable topology. Then the initial conditions are verified and the uniqueness of the generalized solution is proved. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/4478/4298 | |
| dc.rights | Copyright (c) 2023 Jhony Alfonso Chávez Delgado, Augusto Becerra Castañeda, Luis César Méndez Avalos, Eduardo Rodríguez Delgado, Luis Asunción López Puycan | en-US |
| dc.rights | https://creativecommons.org/licenses/by/4.0 | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 42 No. 3 (2023); 713-726 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 42 Núm. 3 (2023); 713-726 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2023-03 | |
| dc.subject | dissipative evolution equation | en-US |
| dc.subject | existence and uniqueness of the generalized solution | en-US |
| dc.subject | 35A01 | en-US |
| dc.subject | 35D30 | en-US |
| dc.subject | 35L05 | en-US |
| dc.title | Existence and uniqueness of the generalized solution of a non-homogeneous hyperbolic differential equation modeling the vibrations of a dissipating elastic rod | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | text | en-US |
